1600416 has 36 divisors (see below), whose sum is σ = 4552002. Its totient is φ = 533376.

The previous prime is 1600393. The next prime is 1600421. The reversal of 1600416 is 6140061.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 608400 = 996^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1600416² = 5122662746112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2491 + ... + 3066.

2^1600416 is an apocalyptic number.

1600416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1600416 is an abundant number, since it is smaller than the sum of its proper divisors (2951586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1600416 is a wasteful number, since it uses less digits than its factorization.

1600416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1600416 is about 1265.0754918186. The cubic root of 1600416 is about 116.9708452450.

Adding to 1600416 its reverse (6140061), we get a palindrome (7740477).

It can be divided in two parts, 1600 and 416, that added together give a triangular number (2016 = T₆₃).

The spelling of 1600416 in words is "one million, six hundred thousand, four hundred sixteen".